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Finding the Fourth Proportional to 13,149.20, 19,738.20 and 8,224.40

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Solution

The fourth proportional to 13,149.20, 19,738.20 and 8,224.40 is: 12,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.20 : 19,738.20 = 8,224.40 : x
  2. Step 2: Convert to fraction form
    13,149.20/19,738.20 = 8,224.40/x
  3. Step 3: Cross multiply
    13,149.20x = 19,738.20 × 8,224.40
  4. Step 4: Simplify right side
    13,149.20x = 162,334,852.08
  5. Step 5: Solve for x
    x = 162,334,852.08/13,149.20
  6. Step 6: Final answer
    x = 12,345.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.